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Particles and Fields


Eur. Phys. J. C 20, 713-716 (2001)
DOI: 10.1007/s100520100693

Klein-Gordon equation from the path integral formalism

D. Felea1, C. Besliu2, I.S. Zgura1, R. Marginean1, Al. Jipa2 and R.I. Nanciu1

1  Institute of Space Sciences, Bucharest-Magurele, P.O. Box MG 23, 76900, Romania
2  Faculty of Physics, University of Bucharest, Bucharest-Magurele, P.O. Box MG 11, 76900, Romania

felea@venus.nipne.ro

(Received: 9 March 2001 / Published online: 13 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)

Abstract
By using Feynman's path integral formalism in the second order for the relativistic Lagrangian for a spinless particle in a gauge field and applying the covariant derivative instead of the commonly used derivative, but without knowing the operator expressions for the momentum and energy, one can obtain the Klein-Gordon equation.



© Società Italiana di Fisica, Springer-Verlag 2001